Departmental Colloquium
Christof Sparber
Cambridge University
On nonlinear Schrodinger equations modeling collective quantum dynamics
Abstract: We shall explain how nonlinear dispersive equations of Schrodinger type can be used to effectively
describe the collective dynamics of (large) quantum systems. After a short review of the basic analytical
properties of the nonlinear equations obtained, we shall discuss recent mathematical results for some
extended models, arising in the description of Bose-Einstein condensates. Time permitting, we shall also
discuss some asymptotic results in multi-scale regimes.
Friday January 15, 2010 at 3:00 PM in SEO 636